Basic Math Examples

$\frac{5}{2} \div \frac{10}{3} \cdot \frac{t \cdot 17}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{2} \cdot \frac{3}{10} \cdot \frac{t \cdot 17}{4}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Factor $5$ out of $10$ .

$\frac{5}{2} \cdot \frac{3}{5 (2)} \cdot \frac{t \cdot 17}{4}$

Step 2.2

Cancel the common factor.

$\frac{5}{2} \cdot \frac{3}{5 \cdot 2} \cdot \frac{t \cdot 17}{4}$

Step 2.3

Rewrite the expression.

$\frac{1}{2} \cdot \frac{3}{2} \cdot \frac{t \cdot 17}{4}$

Step 3

Multiply $\frac{1}{2}$ by $\frac{3}{2}$ .

$\frac{3}{2 \cdot 2} \cdot \frac{t \cdot 17}{4}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $2$ by $2$ .

$\frac{3}{4} \cdot \frac{t \cdot 17}{4}$

Step 4.2

Move $17$ to the left of $t$ .

$\frac{3}{4} \cdot \frac{17 \cdot t}{4}$

Step 5

Multiply $\frac{3}{4} \cdot \frac{17 t}{4}$ .

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Step 5.1

Multiply $\frac{3}{4}$ by $\frac{17 t}{4}$ .

$\frac{3 (17 t)}{4 \cdot 4}$

Step 5.2

Multiply $17$ by $3$ .

$\frac{51 t}{4 \cdot 4}$

Step 5.3

Multiply $4$ by $4$ .

$\frac{51 t}{16}$